Least Common Multiple (LCM) of 41 and 181
The least common multiple (LCM) of 41 and 181 is 7421.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 41 and 181?
First, calculate the GCD of 41 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 181 = 0 remainder 41 |
| 2 | 181 ÷ 41 = 4 remainder 17 |
| 3 | 41 ÷ 17 = 2 remainder 7 |
| 4 | 17 ÷ 7 = 2 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 17 | 3077 |
| 65 and 18 | 1170 |
| 152 and 168 | 3192 |
| 123 and 45 | 1845 |
| 110 and 112 | 6160 |